from manim import *
class CustomCurve(VMobject):
    def __init__(self, **kwargs):
        super().__init__(**kwargs)
        # 定义自定义曲线的控制点
        points = [
            [-43, -13, 0],
            [-43, 0, 0],
            [-35,0,0],
            [-35, -13, 0],
            [-43,-13,0],
            
        ]
        #self.set_points_smoothly(points)
        self.set_points_as_corners(points)#直线
class CustomCurve1(VMobject):
    def __init__(self, **kwargs):
        super().__init__(**kwargs)
        # 定义自定义曲线的控制点
        points = [
            [-43, -13, 0],
            [-39, -11, 0],
            [-35,-6.5,0],
            
            
        ]
        self.set_points_smoothly(points)
        #self.set_points_as_corners(points)#直线
class CustomCurve2(VMobject):
    def __init__(self, **kwargs):
        super().__init__(**kwargs)
        # 定义自定义曲线的控制点
        points = [
            [-35,-6.5,0],
            [-35, -13, 0],
            [-43,-13,0],
            
            
        ]
        #self.set_points_smoothly(points)
        self.set_points_as_corners(points)#直线
class math1(MovingCameraScene):
    def construct(self):
        self.camera.background_color = BLACK  # 设置背景颜色
        self.camera.frame_width = 100  # 设置边框宽度
        self.camera.frame_height = 60  # 设置边框高度
        self.camera.pixel_height = 1080  # 设置像素高度
        self.camera.pixel_width = 1920  # 设置像素宽度
        self.camera.center = ORIGIN  # 设置中心点位置
        self.camera.scale_factor = 1.0  # 设置缩放因子
        #设置横线
        for i in range(60*2+1):       
            dot1=Dot([-500,5*(i-60),0]).set_opacity(0.5)
            dot2=Dot([500,5*(i-60),0]).set_opacity(0.5)
            if i==6:
                line1=Line(dot1,dot2).set_color(WHITE).set_opacity(0.5)
                
            else:
                line1=Line(dot1,dot2).set_color(WHITE).set_opacity(0.5)
               
            self.add(dot1,dot2,line1)
        #设置竖线
        for i in range(100*2+1):        
            dot3=Dot([(i-100)*5,-300,0]).set_opacity(0.5)
            dot4=Dot([(i-100)*5,300,0]).set_opacity(0.5)
            if i==10:
                line2=Line(dot3,dot4).set_color(WHITE).set_opacity(0.5)
                
            else:
                line2=Line(dot3,dot4).set_color(WHITE).set_opacity(0.5)
            self.add(dot3,dot4,line2)
        #设置三个点
        dot1 = Dot(radius=1, color=RED)  
        dot1.move_to([-47.5,27.5,0]) 
        dot2 = Dot(radius=1, color=YELLOW)  
        dot2.move_to([-42.5,27.5,0])  
        dot3 = Dot(radius=1, color=GREEN)  
        dot3.move_to([-37.5,27.5,0])
        #镜头跟进效果 
        self.camera.frame.save_state()
        #题目出现
        text = Tex(r"\text{(张1)计算二重积分}$\iint _{D}\left| x^{2}+y^{2}-\sqrt{2}\left( x+y\right) \right| dxdy$"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,20,0])
        text0 = Tex(r"\text{,其中}$D=\left\{ \left( x,y\right)| x^{2}+y^{2}\leq 4\right\} $"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text,DOWN,buff=2)
        text1 = Tex(r"\text{(张2)计算二重积分}$\iint _{D}\left| x-\left| y\right| \right| d\sigma $\text{,其中}$D=\left\{  \left( x,y\right) | x^{2}+y^{2}\leq 2x,x\leq 1\right\} $"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,20,0])
        text2 = Tex(r"\text{(张3)计算二重积分}$\iint _{D}x\left| y-e^{x}\right| d\sigma $"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,25,0])
        text20 = Tex(r"\text{,其中}$D=\left\{  \left( x,y\right) | 0\leq x\leq 1,0\leq y\leq 2e\right\} $"
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text2,DOWN,buff=2)
        
        self.play(Write(text2),Write(text20))
        self.wait()
        #镜头拉回
          #分析文本
        #text100=MarkupText("<b><i>分析/解：</i></b>",color=PINK).scale(5.0).move_to([-38,12.5,0])
        
        self.play(FadeIn(dot1),run_time=0.1)
        self.play(FadeIn(dot2),run_time=0.1)
        self.play(FadeIn(dot3),run_time=0.1)


         # 创建坐标系
        axes = Axes(
            x_range=[-1, 10, 3],  # 设置 x 轴范围，从 -π 到 π，步长为 π
            y_range=[-1, 10, 3],  # 设置 y 轴范围，从 -1.5 到 1.5，步长为 0.5
            axis_config={"color": WHITE, "stroke_width": 30},  # 设置坐标轴的颜色和线宽
            x_length=20,  # 控制 x 轴长度
            y_length=20,  # 控制 y 轴长度
        )
        axes.move_to([-35, -5, 0])  # 移动坐标系的位置

        # 绘制 1/x 函数图像
        # 分为两部分以避开 x=0
        #graph_left = axes.plot(lambda x: 5/x, color=BLUE, stroke_width=30, x_range=[-5, -0.1])
        #graph_right = axes.plot(lambda x: 5/x, color=PURE_RED, stroke_width=30, x_range=[0.1, 10])
        
       

    
       


        #self.play(Create(arrow10),Create(text15))
        # 将所有元素添加到场景中
        #self.play(Create(axes), Create(labels), Create(graph2))
         # 显示图像
        curve = CustomCurve(color=PURE_RED, stroke_width=20)
        curve.set_fill(color=RED, opacity=0.5)  # 绿色填充，50%透明度        
        self.play(Create(axes))
        self.play(  Create(curve))
        curve1 = CustomCurve1(color=PURE_GREEN, stroke_width=20)
        self.play(  Create(curve1))
        curve2 = CustomCurve2(color=PURE_GREEN, stroke_width=20)
        self.play(  Create(curve2))
        text3 = Tex(r"$D1$",color=BLUE
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([-40,-5,0])
        text4 = Tex(r"$D2$",color=BLUE
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([-37.5,-10,0])
        self.play(  Create(text3), Create(text4))

        text5 = Tex(r"$\iint _{D}x\left| y-e^{x}\right| d\sigma =\iint _{D1}x\left( y-e^{x}\right) d\sigma -\iint _{D2}x\left( y-e^{x}\right) d\sigma $",color=RED
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,10,0])
        self.play(  Create(text5))
        #下划线
        dot1=Dot([-10,7,0])
        dot2=Dot([10,7,0])
        line100=Line(dot1,dot2).set_color(PURE_GREEN)
        line100.set_stroke(width=30)  # 设置宽度为 30
        self.play(Create(line100))
        dot1=Dot([13,7,0])
        dot2=Dot([30,7,0])
        line101=Line(dot1,dot2).set_color(PURE_GREEN)
        line101.set_stroke(width=30)  # 设置宽度为 30
        self.play(Create(line101))

        text6 = Tex(r"$\iint _{D}x\left( y-e^{x}\right) d\sigma $",color=YELLOW
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,-10,0])
        self.play(  Create(text6))
        arrow = Arrow(start=[0,6,0],end=[0,-7,0],color=RED
                       , stroke_width=20, tip_length=1)

        self.play(GrowArrow(arrow))
        text7 = Tex(r"$-\iint _{D_{2}}x\left( y-e^{x}\right) d\sigma $",color=PURE_GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text6,RIGHT,buff=1)
        self.play(  Create(text7))
        text8 = Tex(r"$\iint _{D}x\left| y-e^{x}\right| d\sigma =\iint _{D}x\left( y-e^{x}\right) d\sigma -2\iint _{D2}x\left( y-e^{x}\right) d\sigma $",color=RED
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,10,0])
        self.play(
            ReplacementTransform(line101,text8),
            ReplacementTransform(line100,text8),
            ReplacementTransform(text6,text8),
            ReplacementTransform(arrow,text8),
            ReplacementTransform(text7,text8),
            ReplacementTransform(text5,text8),
        )
        self.wait(0.2)
         #下划线
        dot1=Dot([-10,7,0])
        dot2=Dot([10,7,0])
        line100=Line(dot1,dot2).set_color(PURE_GREEN)
        line100.set_stroke(width=30)  # 设置宽度为 30
        self.play(Create(line100))
        dot1=Dot([13,7,0])
        dot2=Dot([30,7,0])
        line101=Line(dot1,dot2).set_color(PURE_GREEN)
        line101.set_stroke(width=30)  # 设置宽度为 30
        self.play(Create(line101))

        arrow = Arrow(start=[0,6,0],end=[0,-7,0],color=YELLOW
                       , stroke_width=20, tip_length=1)

        self.play(GrowArrow(arrow))

        text9 = Tex(r"$\int _{0}^{1}xdx\int _{0}^{2e}ydy-\int ^{1}_{0}xe^{x}dx\int ^{2e}_{0}1dy$",color=GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,-10,0])
        self.play(Create(text9))
        text10 = Tex(r"$=\dfrac{1}{2}\times \dfrac{4e^{2}}{2}-1\times 2e=e^{2}-2e$",color=YELLOW
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([0,-15,0])
        self.play(Create(text10))

        self.play(self.camera.frame.animate.scale(1.3).move_to([10,0,0]))
        arrow = Arrow(start=[20,6,0],end=[45,-7,0],color=YELLOW
                       , stroke_width=20, tip_length=1)

        self.play(GrowArrow(arrow))

        text11 = Tex(r"$2\int _{0}^{1}dx\int ^{e^{x}}_{0}\left( xy-xe^{x}\right) \cdot dy$",color=GREEN
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([45,-10,0])
        self.play(Create(text11))

        text12 = Tex(r"$=2\int ^{1}_{0}\left( \dfrac{xy^{2}}{2}-xe^{x}y\right) _{0}^{e^{x}}dx$",color=BLUE
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([45,-20,0])
        self.play(Create(text12))
        text13 = Tex(r"$=2\int ^{1}_{0}\left( -\dfrac{x}{2}e^{2x}\right) dx=-\dfrac{1}{4}\left( e^{2}+1\right) $",color=YELLOW
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).move_to([45,-30,0])
        self.play(Create(text13))
        rectangle=Rectangle(color=BLUE,fill_opacity=0.0,width=10,height=5
                            ,stroke_color=BLUE,stroke_width=20)
        rectangle.move_to([12.5, -15, 0])
        
        rectangle1=Rectangle(color=BLUE,fill_opacity=0.0,width=15,height=5
                            ,stroke_color=BLUE,stroke_width=20)
        rectangle1.move_to([58, -30, 0])
        self.play(Create(rectangle),Create(rectangle1))
        text14 = Tex(r"$=\dfrac{5e^{2}}{4}-2e+\dfrac{1}{4} $",color=YELLOW
                   ,tex_template=TexTemplateLibrary.ctex).scale(5.0).next_to(text8,RIGHT,buff=1)
        self.play(
            ReplacementTransform(rectangle,text14),
            ReplacementTransform(rectangle1,text14),
            
        )
        self.wait(0.2)
        self.play(self.camera.frame.animate.scale(0.8).move_to([25,0,0]))
        self.wait(3)

